Standard Deviation Calculator

Standard Deviation Calculator

Paste your data and choose sample or population.

How this calculator works

Standard deviation measures how spread out numbers are around their mean. Subtract the mean from each value, square the differences, add them up, divide by n (population) or n – 1 (sample), then take the square root.

Frequently asked questions

Should I use sample or population?

Use population when your numbers include every member of the group you care about. Use sample when they are only a part of a larger group, which is the more common case.

What does a high standard deviation mean?

The values are spread far from the average. A low value means they cluster close to it.

What is variance?

Variance is the standard deviation squared. It is the average squared distance from the mean.

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